Blog posts

Article in Physical Mesomechanics · December

Authors: Michele Ciavarella, Antonio Papangelo

Abstract:

This work is a natural extension of the author’s previous work: “Multiple scattering theory for heterogeneous elastic continua with strong property fluctuation: theoretical fundamentals and applications” (arXiv:1706.09137 [physics.geo-ph]), which established the foundation for developing multiple scattering model for heterogeneous elastic continua with either weak or strong fluctuations in mass density and elastic stiffness. Polycrystalline material is another type of heterogeneous materials that widely exists in nature and extensively used in industry.

Scattering of elastic waves in heterogeneous media has become one of the most important problems in the field of wave propagation due to its broad applications in seismology, natural resource exploration, ultrasonic nondestructive evaluation and biomedical ultrasound. Nevertheless, it is one of the most challenging problems because of the complicated medium inhomogeneity and the complexity of the elastodynamic equations.

The derivations of some equations and solutions to problems from my metamaterials books are now available for download from ResearchGate at https://www.researchgate.net/publication/320611794_Mechanical_metamaterials_some_derivations_and_examples.

-- Biswajit

Discrete approaches can be used in various areas of engineering and science.

Our group at TU Delft has recently published a paper on simulating shear failure in reinforced concrete using discrete (lattice) models. The paper can be found at: https://www.researchgate.net/publication/317617956_On_the_Potential_of_…;